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Finding the Fourth Proportional to 765.17, 1,054.42 and 543.74

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Solution

The fourth proportional to 765.17, 1,054.42 and 543.74 is: 749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.17 : 1,054.42 = 543.74 : x
  2. Step 2: Convert to fraction form
    765.17/1,054.42 = 543.74/x
  3. Step 3: Cross multiply
    765.17x = 1,054.42 × 543.74
  4. Step 4: Simplify right side
    765.17x = 573,323.70
  5. Step 5: Solve for x
    x = 573,323.70/765.17
  6. Step 6: Final answer
    x = 749.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.